IMPULSIVE EXPONENTIAL SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS WITH DERIVATIVE COUPLINGS VIA FEEDBACK CONTROL BASED ON DISCRETE TIME STATE OBSERVATIONS

doi:10.1007/s10473-022-0219-4

Abstract

Abstract: This article aims to address the global exponential synchronization problem for fractional-order complex dynamical networks (FCDNs) with derivative couplings and impulse effects via designing an appropriate feedback control based on discrete time state observations. In contrast to the existing works on integer-order derivative couplings, fractional derivative couplings are introduced into FCDNs. First, a useful lemma with respect to the relationship between the discrete time observations term and a continuous term is developed. Second, by utilizing an inequality technique and auxiliary functions, the rigorous global exponential synchronization analysis is given and synchronization criterions are achieved in terms of linear matrix inequalities (LMIs). Finally, two examples are provided to illustrate the correctness of the obtained results.

Key words: Fractional-order complex dynamical networks, fractional derivative couplings, impulses, discrete time state observations

CLC Number:

93B52

Ruihong LI, Huaiqin WU, Jinde CAO. IMPULSIVE EXPONENTIAL SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS WITH DERIVATIVE COUPLINGS VIA FEEDBACK CONTROL BASED ON DISCRETE TIME STATE OBSERVATIONS[J].Acta mathematica scientia,Series B, 2022, 42(2): 737-754.

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